457648084320 has 768 divisors, whose sum is σ = 1769298370560. Its totient is φ = 97116143616.

The previous prime is 457648084261. The next prime is 457648084427. The reversal of 457648084320 is 23480846754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1318870387 + ... + 1318870733.

It is an arithmetic number, because the mean of its divisors is an integer number (2303773920).

Almost surely, 2^457648084320 is an apocalyptic number.

457648084320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457648084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884649185280).

457648084320 is an abundant number, since it is smaller than the sum of its proper divisors (1311650286240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457648084320 is a wasteful number, since it uses less digits than its factorization.

457648084320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 457648084320 in words is "four hundred fifty-seven billion, six hundred forty-eight million, eighty-four thousand, three hundred twenty".